Respuesta :

Transitive Property is the correct answer.

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: x║y, w is transversal line.

From the given figure it is clear that

[tex]\angle 2\cong \angle 3[/tex]                      (Definition of vertically opposite angles)

[tex]\angle 2\cong \angle 6[/tex]                      (Definition of corresponding angles)

According to the transitive property of congruent angles, if ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.

Using transitive property of congruent angles, we get

[tex]\angle 3\cong \angle 6[/tex]

The missing reason is transitive property, therefore the correct option is 1.